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Finding the Fourth Proportional to 66.95, 100.40 and 32.70

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Solution

The fourth proportional to 66.95, 100.40 and 32.70 is: 49.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.95 : 100.40 = 32.70 : x
  2. Step 2: Convert to fraction form
    66.95/100.40 = 32.70/x
  3. Step 3: Cross multiply
    66.95x = 100.40 × 32.70
  4. Step 4: Simplify right side
    66.95x = 3,282.92
  5. Step 5: Solve for x
    x = 3,282.92/66.95
  6. Step 6: Final answer
    x = 49.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.